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Article: Design of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction technique

TitleDesign of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction technique
Authors
KeywordsCausal stable infinite-impulse response (IIR) filters
Linear and convex quadratic constraints
Model reduction
Polyphase decomposition
Second-order cone programming
Issue Date2007
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 2, p. 107-111 How to Cite?
AbstractThis brief proposes a new method for designing infinite-impulse response (IIR) filter with peak error and prescribed flatness constraints. It is based on the model reduction of a finite-impulse response function that satisfies the specification by extending a method previously proposed by Brandenstein et al. The proposed model-reduction method retains the denominator of the conventional techniques and formulates the optimal design of the numerator as a second-order cone programming problem. Therefore, linear and convex quadratic inequalities such as peak error constraints and prescribed number of zeros at the stopband for IIR filters can be imposed and solved optimally. Moreover, a method is proposed to express the denominator of the model-reduced IIR filter as a polynomial in integer power of z, which efficiently facilitates its polyphase implementation in multirate applications. Design examples show that the proposed method gives better performance, and more flexibility in incorporating a wide variety of constraints than conventional methods. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/44765
ISSN
2006 Impact Factor: 0.922
2007 SCImago Journal Rankings: 1.092
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChan, SCen_HK
dc.contributor.authorTsui, KMen_HK
dc.contributor.authorTse, KWen_HK
dc.date.accessioned2007-10-30T06:09:45Z-
dc.date.available2007-10-30T06:09:45Z-
dc.date.issued2007en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 2, p. 107-111en_HK
dc.identifier.issn1057-7130en_HK
dc.identifier.urihttp://hdl.handle.net/10722/44765-
dc.description.abstractThis brief proposes a new method for designing infinite-impulse response (IIR) filter with peak error and prescribed flatness constraints. It is based on the model reduction of a finite-impulse response function that satisfies the specification by extending a method previously proposed by Brandenstein et al. The proposed model-reduction method retains the denominator of the conventional techniques and formulates the optimal design of the numerator as a second-order cone programming problem. Therefore, linear and convex quadratic inequalities such as peak error constraints and prescribed number of zeros at the stopband for IIR filters can be imposed and solved optimally. Moreover, a method is proposed to express the denominator of the model-reduced IIR filter as a polynomial in integer power of z, which efficiently facilitates its polyphase implementation in multirate applications. Design examples show that the proposed method gives better performance, and more flexibility in incorporating a wide variety of constraints than conventional methods. © 2007 IEEE.en_HK
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dc.format.mimetypetext/plain-
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dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Express Briefsen_HK
dc.rights©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectCausal stable infinite-impulse response (IIR) filtersen_HK
dc.subjectLinear and convex quadratic constraintsen_HK
dc.subjectModel reductionen_HK
dc.subjectPolyphase decompositionen_HK
dc.subjectSecond-order cone programmingen_HK
dc.titleDesign of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction techniqueen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-7747&volume=54&issue=2&spage=107&epage=111&date=2007&atitle=Design+of+Constrained+Causal+Stable+IIR+Filters+Using+a+New+Second-+Order-Cone-Programming-Based+Model-Reduction+Techniqueen_HK
dc.identifier.emailChan, SC: ascchan@hkucc.hku.hken_HK
dc.identifier.emailTsui, KM: kmtsui11@hku.hken_HK
dc.identifier.emailTse, KW: kwtse@eee.hku.hken_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.identifier.authorityTsui, KM=rp00181en_HK
dc.identifier.authorityTse, KW=rp00180en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSII.2006.883831en_HK
dc.identifier.scopuseid_2-s2.0-33947600363en_HK
dc.identifier.hkuros140417-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33947600363&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume54en_HK
dc.identifier.issue2en_HK
dc.identifier.spage107en_HK
dc.identifier.epage111en_HK
dc.identifier.isiWOS:000244401100003-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.scopusauthoridTsui, KM=7101671591en_HK
dc.identifier.scopusauthoridTse, KW=7102609851en_HK

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